Which statement is true about the square root of 28? (1 point)

Question

It is between 6 and 7, probably closer to 6.
It is between 5 and 6, probably closer to 6.
It is between 4 and 5, probably closer to 5.
It is between 5 and 6, probably closer to 5.

Answer 1

To determine which statement is true about the square root of 28, we can find the approximate value of \(\sqrt{28}\).

We know that:

• \(5^2 = 25\)
• \(6^2 = 36\)

Since \(25 < 28 < 36\), it follows that \(5 < \sqrt{28} < 6\).

Now, to get a more precise estimate:

• \(\sqrt{25} = 5\)
• \(\sqrt{36} = 6\)

Calculating \(5.5^2 = 30.25\), which is greater than 28. Calculating \(5.4^2 = 29.16\), still greater than 28. Calculating \(5.3^2 = 28.09\), still greater than 28. Calculating \(5.2^2 = 27.04\), which is less than 28.

So we can see that \(5.2 < \sqrt{28} < 5.3\).

Thus, \(\sqrt{28}\) is between 5 and 6, and given the estimates, it is closer to 5 than to 6.

The correct statement is: It is between 5 and 6, probably closer to 5.